船舶水上纵向运动的非线性数学模型构建

Construction of nonlinear mathematical model for longitudinal motion of ships on water

为了解决当前船舶水上纵向运动预测精度的问题,设计了一种船舶水上纵向运动的非线性数学模型构建方法。首先分析了当前船舶水上纵向运动的线性数学模型的缺陷,然后引入非线性建模方法—神经网络对船舶水上纵向运动变化特点进行拟合,建立船舶水上纵向运动的非线性预测模型,最后与线性船舶水上纵向运动建模方法进行仿真对比实验。结果表明,本文方法的船舶水上纵向运动预测精度高,船舶水上纵向运动预测误差要小于线性船舶水上纵向运动建模方法,验证了本文非线性船舶水上纵向运动建模方法的有效性以及优越性。

In order to solve the problem of prediction accuracy of ship’s longitudinal motion on water,a method of constructing a non-linear mathematical model of ship’s longitudinal motion on water is designed.Firstly,the shortcomings of the current linear mathematical model of ship’s longitudinal motion on water are analyzed.Then,the non-linear modeling method-neural network is introduced to fit the variation characteristics of ship’s longitudinal motion on water,and the non-linear prediction model of ship’s longitudinal motion on water is established.Finally,the simulation experiments are compared with the linear modeling method of ship’s longitudinal motion on water.The results show that the method proposed in this paper is effective.The prediction accuracy of ship longitudinal motion on water is high,and the prediction error of ship longitudinal motion on water is less than that of linear ship longitudinal motion on water.The validity and superiority of the non-linear ship longitudinal motion modeling method in this paper are verified.